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Finding the Fourth Proportional to 73,785.94, 101,824.70 and 40,251.94

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Solution

The fourth proportional to 73,785.94, 101,824.70 and 40,251.94 is: 55,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,785.94 : 101,824.70 = 40,251.94 : x
  2. Step 2: Convert to fraction form
    73,785.94/101,824.70 = 40,251.94/x
  3. Step 3: Cross multiply
    73,785.94x = 101,824.70 × 40,251.94
  4. Step 4: Simplify right side
    73,785.94x = 4,098,641,259.10
  5. Step 5: Solve for x
    x = 4,098,641,259.10/73,785.94
  6. Step 6: Final answer
    x = 55,547.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.